Explanation Given information: The complex number − 3 + i . Formula used: The distance formula to find r , r = x 2 + y 2 . For angle θ in third quadrant, θ = π + tan − 1 ( y x ) . Calculation: Consider the complex number − 3 + i . Compare it with standard form of complex number x + i y . Therefore, x = − 3 , y = 1 . The coordinates ( − 3 , 1 ) lies in second quadrant. To find the value of r use the formula r = x 2 + y 2 . Therefore, r = ( − 3 ) 2 + ( 1 ) 2 = 3 + 1 = 4 = 2 . To find the angle θ use the formula θ = π + tan − 1 ( y x )

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 13.2, Problem 75AYU

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To calculate: The polar form of the complex number −3+i.

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Chapter 13.2, Problem 74AYU

Chapter 13.2, Problem 76AYU

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The polar form of the complex number − 3 + i .

Solution Summary: The author calculates the polar form of the complex number -sqrt3+i.

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To calculate: The polar form of the complex number −3+i.

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